208029946609 has 9 divisors (see below), whose sum is σ = 214971673419. Its totient is φ = 201305620080.

The previous prime is 208029946591. The next prime is 208029946651. The reversal of 208029946609 is 906649920802.

The square root of 208029946609 is 456103.

It is a perfect power (a square), and thus also a powerful number.

208029946609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 154146538225 + 53883408384 = 392615^2 + 232128^2 .

It is a de Polignac number, because none of the positive numbers 2^k-208029946609 is a prime.

It is a super-2 number, since 2×208029946609² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 208029946609.

It is not an unprimeable number, because it can be changed into a prime (208029946009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14131837 + ... + 14146549.

It is an arithmetic number, because the mean of its divisors is an integer number (23885741491).

Almost surely, 2^208029946609 is an apocalyptic number.

208029946609 is the 456103-rd square number.

208029946609 is the 228052-nd centered octagonal number.

It is an amenable number.

208029946609 is a deficient number, since it is larger than the sum of its proper divisors (6941726810).

208029946609 is an frugal number, since it uses more digits than its factorization.

208029946609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29488 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 208029946609 in words is "two hundred eight billion, twenty-nine million, nine hundred forty-six thousand, six hundred nine".